Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520ct |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
27787236249600 = 212 · 32 · 52 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29360,1909908] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:1530:1] |
Generators of the group modulo torsion |
j |
683355524635441/6783993225 |
j-invariant |
L |
7.708493875867 |
L(r)(E,1)/r! |
Ω |
0.66868203075966 |
Real period |
R |
1.4409864334136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998871 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4845d2 |
Quadratic twists by: -4 |